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Coherent effects in scattering from bounded random systems with discrete spectrum

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Wave Propagation in Complex Media

Abstract

Scattering of scalar and electromagnetic waves from random media that support (due to the presence of boundaries) discrete components in the spectra of excitations is studied analytically and numerically. The effect of enhanced backscattering and memory effect are investigated for random interfaces with surface polaritons. It is shown that enhanced backscattered peak appears as the result of competition of two mechanisms: multiple scattering of surface wave along the interface and its leakage to the upper halfspace. The last one is an important distinction of the surface scattering which shifts the diffuse pole and eliminates in natural way the divergence of second moments. New results valid when there is no real absorption in the medium are obtained for scattered intensity as a function of angle near the antispecular direction. It is shown that the shape of the peak near this direction exhibits strong dependence on the geometry of the surface. The angular correlation function of the amplitudes of two waves with different incident angles is calculated. A possibility to use the memory effect for determination of Statistical characteristics of a random surface is discussed. We study also wave scattering from and transmission through a thin film with random surface or volume scatterers in the case when the thickness of the film is small in comparison to the mean free path. We predict analytically and demonstrate numerically the existence of enhanced scattered peaks in the angular distribution of intensities of both reflected and transmitted waves. These satellite peaks occur at directions defined by degenerate time-reversai symmetry in the scattering system with discrete spectrum of eigenmodes.

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Freilikher, V. et al. (1998). Coherent effects in scattering from bounded random systems with discrete spectrum. In: Papanicolaou, G. (eds) Wave Propagation in Complex Media. The IMA Volumes in Mathematics and its Applications, vol 96. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1678-0_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1678-0_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7241-0

  • Online ISBN: 978-1-4612-1678-0

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